442381008479631948

Names of 442381008479631948

• Cardinal: 442381008479631948 can be written as Four hundred forty-two quadrillion, three hundred eighty-one trillion, eight billion, four hundred seventy-nine million, six hundred thirty-one thousand, nine hundred forty-eight.

Scientific notation

• Scientific notation: 4.42381008479631948 × 10¹⁷

Factors of 442381008479631948

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 25401

Divisors of 442381008479631948

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 841 972 1044 1566 1682 2349 2523 3132 3364 4698 5046 7047 7569 9396 10092 14094 15138 22707 24389 25367 28188 30276 45414 48778 50734 68121 73167 76101 90828 97556 101468 136242 146334 152202 204363 219501 228303 272484 292668 304404 408726 439002 456606 658503 684909 707281 735643 817452 878004 913212 1317006 1369818 1414562 1471286 1975509 2054727 2121843 2206929 2634012 2739636 2829124 2942572 3951018 4109454 4243686 4413858 5926527 6164181 6365529 6620787 7902036 8218908 8487372 8827716 11853054 12328362 12731058 13241574 19096587 19862361 21333647 23706108 24656724 25462116 26483148 38193174 39724722 42667294 57289761 59587083 64000941 76386348 79449444 85334588 114579522 119174166 128001882 171869283 178761249 192002823 229159044 238348332 256003764 343738566 357522498 384005646 576008469 618675763 643484689 687477132 715044996 768011292 1152016938 1237351526 1286969378 1728025407 1856027289 1930454067 2304033876 2474703052 2573938756 3456050814 3712054578 3860908134 5184076221 5568081867 5791362201 6912101628 7424109156 7721816268 10368152442 11136163734 11582724402 16704245601 17374086603 17941597127 18661055981 20736304884 22272327468 23165448804 33408491202 34748173206 35883194254 37322111962 50112736803 52122259809 53824791381 55983167943 66816982404 69496346412 71766388508 74644223924 100225473606 104244519618 107649582762 111966335886 150338210409 156366779427 161474374143 167949503829 200450947212 208489039236 215299165524 223932671772 300676420818 312733558854 322948748286 335899007658 484423122429 503848511487 541170623449 601352841636 625467117708 645897496572 671798015316 968846244858 1007697022974 1082341246898 1453269367287 1511545534461 1623511870347 1937692489716 2015394045948 2164682493796 2906538734574 3023091068922 3247023740694 4359808101861 4534636603383 4870535611041 5813077469148 6046182137844 6494047481388 8719616203722 9069273206766 9741071222082 14611606833123 15693948080021 17439232407444 18138546413532 19482142444164 29223213666246 31387896160042 43834820499369 47081844240063 58446427332492 62775792320084 87669640998738 94163688480126 131504461498107 141245532720189 175339281997476 188327376960252 263008922996214 282491065440378 423736598160567 455124494320609 526017845992428 564982130880756 847473196321134 910248988641218 1271209794481701 1365373482961827 1694946392642268 1820497977282436 2542419588963402 2730746965923654 3813629383445103 4096120448885481 5084839177926804 5461493931847308 7627258766890206 8192240897770962 12288361346656443 15254517533780412 16384481795541924 24576722693312886 36865084039969329 49153445386625772 73730168079938658 110595252119907987 147460336159877316 221190504239815974 442381008479631948
• Sum of all divisors σ(n): 1201120831694004676
• Sum of proper divisors (its aliquot sum) s(n): 758739823214372728
• 442381008479631948 is an abundant number, because the sum of its proper divisors (758739823214372728) is greater than itself. Its abundance is 316358814734740780

Bases of 442381008479631948

• Binary: 11000100011101001110010111011110001110011101011101001001100₂
• Hexadecimal: 0x623A72EF1CEBA4C
• Base-36: 3CZUZ9PPM0R0

Squares and roots of 442381008479631948

• 442381008479631948 squared (442381008479631948²) is 195700956663456193480533973542274704
• 442381008479631948 cubed (442381008479631948³) is 86574386569208498705718722085610223978683308630643392
• The square root of 442381008479631948 is 665117289.2653084145
• The cube root of 442381008479631948 is 761959.9736483831

Scales and comparisons

• 442,381,008,479,631,948 seconds is equal to 14,066,347,695 years, 18 weeks, 20 hours, 25 minutes, 48 seconds.
• To count from 1 to 442,381,008,479,631,948 would take you about forty-two billion, one hundred ninety-nine million, forty-three thousand and eighty-six years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 442381008479631948 cubic inches would be around 63496.7 feet tall.

Recreational maths with 442381008479631948

• 442381008479631948 backwards is 849136974800183244
• 442381008479631948 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 442381008479631948's digits is 81
• More coming soon!